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Question

ABC is a triangle such that AB = 10 cmand AC = 3 cm. Which of the followingstatements are true?


A

BC>7 cm

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B

BC=6 cm

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C

BC<13 cm

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D

BC=14 cm

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Solution

The correct options are
A

BC>7 cm


C

BC<13 cm


We know that sum of two sides of a traingle is always greater than its third side.

AC+AB>BC

(3+10) cm>BC

BC<13 cm

Also, the difference between its two sides is less than the third side

ABAC<BC

(103) cm<BC

7 cm<BC

BC>7 cm

Thus, 7 cm < BC < 13 cm.


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